Trigonometrical Equations
medium

General solution of the equation $\cot \theta - \tan \theta = 2$ is

A

$n\pi + \frac{\pi }{4}$

B

$\frac{{n\pi }}{2} + \frac{\pi }{8}$

C

$\frac{{n\pi }}{2} \pm \frac{\pi }{8}$

D

None of these

Solution

(b) On simplification, it reduces to $\cos 2\theta = \sin 2\theta $

$ \Rightarrow $ $\tan 2\theta = \tan \frac{\pi }{4}$

$\Rightarrow 2\theta = n\pi + \frac{\pi }{4}$

$\Rightarrow \theta = \frac{{n\pi }}{2} + \frac{\pi }{8}$.

Standard 11
Mathematics

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